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Paper detail

Work-sensitive Dynamic Complexity of Formal Languages

Which amount of parallel resources is needed for updating a query result after changing an input? In this work we study the amount of work required for dynamically answering membership and range queries for formal languages in parallel constant time with polynomially many processors. As a prerequisite, we propose a framework for specifying dynamic, parallel, constant-time programs that require small amounts of work. This framework is based on the dynamic descriptive complexity framework by Patnaik and Immerman.

preprint2021arXivOpen access
Jonas SchmidtThomas SchwentickTill TantauNils VortmeierThomas Zeume
Logic in Computer ScienceData Structures and AlgorithmsComputational Complexity
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Jonas SchmidtThomas SchwentickTill TantauNils VortmeierThomas Zeume

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